Question

In a parallelogram ABCD, if ∠D=115°, then write the measure of ∠A.

Answer 1

Answer:

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Answer 2

Given : In a parallelogram ABCD, ∠D = 115°.

Since, opposite angles of a parallelogram are equal. Then  

∠D = ∠B  = 115°

Since, adjacent angles of a parallelogram are supplementary. Then  

∠A + ∠B = 180°

∠A + 115° = 180°

∠A  = 180°  - 115°  

∠A = 65°

Since, opposite angles of a parallelogram are equal. Then  

∠A = ∠C = 65°

Hence , the measures of angle ∠A is 65° ..

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